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Finding the Fourth Proportional to 385,337.76, 531,773.76 and 232,375.20

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Solution

The fourth proportional to 385,337.76, 531,773.76 and 232,375.20 is: 320,682.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,337.76 : 531,773.76 = 232,375.20 : x
  2. Step 2: Convert to fraction form
    385,337.76/531,773.76 = 232,375.20/x
  3. Step 3: Cross multiply
    385,337.76x = 531,773.76 × 232,375.20
  4. Step 4: Simplify right side
    385,337.76x = 123,571,033,834.75
  5. Step 5: Solve for x
    x = 123,571,033,834.75/385,337.76
  6. Step 6: Final answer
    x = 320,682.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.